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A064259
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Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,45.
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1
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336, 606, 1236, 3036, 7536, 9066, 12576, 17256, 18786, 19416, 22026, 27966, 28596, 30576, 33636, 35616, 43986, 47136, 48486, 49476, 52806, 53526, 59106, 60726, 63246, 71706, 80526, 83136, 86286, 89976, 96096, 97986, 98886, 103836, 105096, 116256, 118686, 119046
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OFFSET
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1,1
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COMMENTS
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am+1, bm+1, cm+1 are primes and am | (N-1), bm | (N-1), cm |(N-1).
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REFERENCES
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Harvey Dubner (harvey(AT)dubner.com), personal communication, Jun 27 2001.
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LINKS
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MATHEMATICA
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carmQ[n_] := CompositeQ[n] && Divisible[n - 1, CarmichaelLambda[n]]; Select[Range[10^5], AllTrue[(v = {1, 2, 45}*# + 1), PrimeQ] && carmQ[Times @@ v] &] (* Amiram Eldar, Oct 17 2019 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Offset corrected and more terms added by Amiram Eldar, Oct 17 2019
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STATUS
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approved
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